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Self-circumference in the Minkowski plane (February 1989)



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Author: Ghandehari, Mostafa.;Pfiefer, Richard.
Subject: POLYGONS.; CIRCUMFERENCE.
Publisher: Monterey, California : Naval Postgraduate School
Language: en_US
Call number: a199445
Digitizing sponsor: Naval Postgraduate School, Dudley Knox Library
Book contributor: Naval Postgraduate School, Dudley Knox Library
Collection: navalpostgraduateschoollibrary; fedlink; americana
Notes: some content may be lost due to the binding of the book.

Full catalog record: MARCXML

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Description

Title from cover

"NPS-53-89-009."

"February 1989."

AD A205 691

Includes bibliographical references (p. 16-17)

Let delta(n) denote the self-circumference of a regular polygon with n sides. It will be shown that delta (n) is monotonically increasing from 6 to 2 pi if n is twice and odd number, and monotonically decreasing from 8 to 2 pi if n is twice an even number. Calculation of delta (n) for the case where n is odd as well as inequalities for self-circumference of some irregular polygons are given. Properties of the mixed area of a plane convex body and its polar dual are used to discuss the self-circumference of some convex curves. (kr)

aq/aq cc:9116 06/25/98


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Mediatype: texts
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Format_extent: 22 p. : ill. ; 28 cm.
Identifier_oclc: a199445
Type: Technical Report
Identifier_npsreport: NPS-53-89-009
Contributor_corporate: Naval Postgraduate School (U.S.). Dept. of Mathematics.
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